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24 August, 16:56

A thread is being pulled off a spool at the rate of 57.3 cm per sec. Find the radius of the spool if it makes 141 revolutions per min. Round to two decimal places as needed.

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  1. 24 August, 17:16
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    Answer: r = 0.04meter

    Explanation:

    The velocity V and angular speed w is related to the radio by

    V=w*r

    r=V/w

    But the standard unit for velocity is m/s so we convert 57.3cm/sec to m/s

    57.3/100 = 0.57m/s

    Also Angular speed w is rad/secs

    So we convert rev/min to rad/sec

    0.1rad/sec equals 1 rev/mins

    141rev/mins * 0.1rad/secs

    =14.1rad/sec

    r = V/w

    = 0.573/14.1

    = 0.04m to 2d. p
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